#12537 ⟨a, b | abab=ba, baaa=b⟩

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  1. Properties
  2. Rewriting system

Properties

Rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
#RuleProof
1. ba3 ⇒ b [2]
2. a3b ⇒ b [12]
3. bab ⇒ a2ba [13]
4. ab2 ⇒ (ba2)2 [6]
5. (a2b)2 ⇒ b2a [14]
6. b2a2b ⇒ aba2 [11]
7. b4 ⇒ b [8]
# ab:abab=ba,baaa=b a/b
baaa=b
aaab=b
bab=aaba
abb=baabaa
aabaab=bba
bbaab=abaa
bbbb=b